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Semiclassical Analysis

Maciej Zworski
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      Semiclassical analysis provides PDE techniques based on the classical-quantum (particle-wave) correspondence. These techniques include such well-known tools as geometric optics and the Wentzel-Kramers-Brillouin approximation. Examples of problems studied in this subject are high energy eigenvalue asymptotics and effective dynamics for solutions of evolution equations. From the mathematical point of view, semiclassical analysis is a branch of microlocal analysis which, broadly speaking, applies harmonic analysis and symplectic geometry to the study of linear and nonlinear PDE. The book is intended to be a graduate level text introducing readers to semiclassical and microlocal methods in PDE. It is augmented in later chapters with many specialized advanced topics which provide a link to current research literature.
      Format: Paperback / softback CONTRIBUTORS: Maciej Zworski EAN: 9781470470623 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 0 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2012-05-30 CITY: GENRE: MATHEMATICS / Calculus WIDTH: 0 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis, Differential calculus and equations

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      Maciej Zworski, University of California, Berkeley, CA.
      Semiclassical analysis provides PDE techniques based on the classical-quantum (particle-wave) correspondence. These techniques include such well-known tools as geometric optics and the Wentzel-Kramers-Brillouin approximation. Examples of problems studied in this subject are high energy eigenvalue asymptotics and effective dynamics for solutions of evolution equations. From the mathematical point of view, semiclassical analysis is a branch of microlocal analysis which, broadly speaking, applies harmonic analysis and symplectic geometry to the study of linear and nonlinear PDE. The book is intended to be a graduate level text introducing readers to semiclassical and microlocal methods in PDE. It is augmented in later chapters with many specialized advanced topics which provide a link to current research literature.
      Format: Paperback / softback CONTRIBUTORS: Maciej Zworski EAN: 9781470470623 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 0 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2012-05-30 CITY: GENRE: MATHEMATICS / Calculus WIDTH: 0 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis, Differential calculus and equations

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      Maciej Zworski, University of California, Berkeley, CA.

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